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Simplifying 6(5k + -8) + -20 = -3(5 + -9x) + 3k Reorder the terms: 6(-8 + 5k) + -20 = -3(5 + -9x) + 3k (-8 * 6 + 5k * 6) + -20 = -3(5 + -9x) + 3k (-48 + 30k) + -20 = -3(5 + -9x) + 3k Reorder the terms: -48 + -20 + 30k = -3(5 + -9x) + 3k Combine like terms: -48 + -20 = -68 -68 + 30k = -3(5 + -9x) + 3k -68 + 30k = (5 * -3 + -9x * -3) + 3k -68 + 30k = (-15 + 27x) + 3k Reorder the terms: -68 + 30k = -15 + 3k + 27x Solving -68 + 30k = -15 + 3k + 27x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -68 + 30k + -3k = -15 + 3k + -3k + 27x Combine like terms: 30k + -3k = 27k -68 + 27k = -15 + 3k + -3k + 27x Combine like terms: 3k + -3k = 0 -68 + 27k = -15 + 0 + 27x -68 + 27k = -15 + 27x Add '68' to each side of the equation. -68 + 68 + 27k = -15 + 68 + 27x Combine like terms: -68 + 68 = 0 0 + 27k = -15 + 68 + 27x 27k = -15 + 68 + 27x Combine like terms: -15 + 68 = 53 27k = 53 + 27x Divide each side by '27'. k = 1.962962963 + x Simplifying k = 1.962962963 + x
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